A force of 100 N acts on a huge mass of 100 kg for 0.1 s. The change in momentum will be

Options

A. `100 kg m s^(-1)`
B. `10 kg ms ^(-1)`
C. `1 kg ms ^(-1)`
D. `0.1 kg ms ^(-1)`

Explanation

To solve the problem of finding the change in momentum when a force acts on a mass, we can follow these steps:

### Step 1: Understand the relationship between force, time, and change in momentum
The change in momentum (impulse) can be calculated using the formula:
\[ \text{Impulse} = \text{Force} \times \text{Time} \]
This means that the change in momentum is equal to the product of the force applied and the time duration for which the force is applied.

### Step 2: Identify the given values
From the question, we have:
- Force (F) = 100 N
- Time (t) = 0.1 s

### Step 3: Substitute the values into the impulse formula
Now, we can substitute the given values into the impulse formula:
\[ \text{Impulse} = 100 \, \text{N} \times 0.1 \, \text{s} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ \text{Impulse} = 100 \times 0.1 = 10 \, \text{kg m/s} \]

### Step 5: State the final result
The change in momentum is therefore:
\[ \text{Change in momentum} = 10 \, \text{kg m/s} \]

### Final Answer
The change in momentum will be **10 kg m/s**.

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